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4208016 = 243293023
BaseRepresentation
bin10000000011010110010000
321220210022110
4100003112100
52034124031
6230105320
750524161
oct20032620
97823273
104208016
1124145aa
1214ab240
13b44467
147b7768
15581c46
hex403590

4208016 has 40 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1353856.

The previous prime is 4207991. The next prime is 4208053. The reversal of 4208016 is 6108024.

4208016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4207983 and 4208001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 24208016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4208016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4208016 is an abundant number, since it is smaller than the sum of its proper divisors (7041264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4208016 is a wasteful number, since it uses less digits than its factorization.

4208016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4208016 is about 2051.3449246775. The cubic root of 4208016 is about 161.4454441638.

The spelling of 4208016 in words is "four million, two hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 3023 6046 9069 12092 18138 24184 36276 48368 72552 87667 145104 175334 263001 350668 526002 701336 1052004 1402672 2104008 4208016